My Time Machine backups started consistently failing, but only after copying a certain number of files to the backup disk.
Repeated attempts to back up would fail more quickly, almost as if a particular file were causing the failure.
The error messages say to try to repair the backup disk, similar to
Time Machine couldn't complete the backup to "MyBackupDrive". An error occurred while copying files. The problem may be temporary. If the problem persists, use Disk Utility to repair your backup disk.
However, repairing the backup disk failed to resolve the issue. Reparing my boot disk and using a different backup disk also failed.
I am not (to my knowledge) using any services or applications known to cause Time Machine problems, as detailed in answers to related questions.
How can I get the backup to succeed?